2682077760 has 336 divisors, whose sum is σ = 10110063600. Its totient is φ = 649592832.

The previous prime is 2682077711. The next prime is 2682077779. The reversal of 2682077760 is 677702862.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 17040384 + 2665037376 = 4128^2 + 51624^2 .

It is a super-2 number, since 2×2682077760² = 14387082221373235200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1418896 + ... + 1420784.

It is an arithmetic number, because the mean of its divisors is an integer number (30089475).

Almost surely, 2^2682077760 is an apocalyptic number.

2682077760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2682077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5055031800).

2682077760 is an abundant number, since it is smaller than the sum of its proper divisors (7427985840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2682077760 is a wasteful number, since it uses less digits than its factorization.

2682077760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 2682077760 is about 51788.7802520971. The cubic root of 2682077760 is about 1389.3887829086.

The spelling of 2682077760 in words is "two billion, six hundred eighty-two million, seventy-seven thousand, seven hundred sixty".